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JEE Main 2010

Browse the complete Chemistry, Mathematics, and Physics question set from the JEE Main 2010 paper, question by question. Each question shows a quick preview so you can jump straight to the topic or subject you want to revise. Click through to attempt the full question in practice mode, or head back to the paper-wise list to download the entire paper as a PDF.

This paper has 90 questions in total - 31 easy (34%), 44 moderate (49%) and 15 tough (17%). That's a fairly typical mix for this exam. By subject: Physics 43% easy, 40% moderate, 17% tough; Chemistry 33% easy, 60% moderate, 7% tough; Mathematics 27% easy, 47% moderate, 27% tough.

Chemistry questions were spread across 18 chapters, with General Organic Chemistry (3), Solutions (3), and Thermodynamics (C) (3) carrying the most weight. Mathematics questions were spread across 24 chapters, with Application of Derivatives (2), Matrices (2), and Probability (2) carrying the most weight. Physics questions were spread across 20 chapters, with Electrostatics (3), Nuclear Physics (3), and Ray Optics (3) carrying the most weight.

Chemistry

  1. 1The standard enthalpy of formation of is . If the enthalpy of formation of from its atoms is and that of is , the average bond enthalpy of b2010Laws of Thermochemistry and Enthalpy Change
  2. 2The time for half life period of a certain reaction products is 1 hour. When the initial concentration of the reactant ' ', is , how much ti2010Integrated rate laws
  3. 3A solution containing of (molar mass ) is passed through a cation exchanger. The chloride ions obtained in solution were treated with excess2010Isomerism of coordination compounds
  4. 4Consider the reaction : The rate equation for this reaction is rate Which of these mechanisms is/are consistent with this rate equation? (A)2010Rate of reaction
  5. 5If of water is introduced into a flask to , how many moles of water are in the vapour phase when equilibrium is established? (Given : Vapour2010Vapour pressure and raoult's law
  6. 6One mole of a symmetrical alkene on ozonolysis gives two moles of an aldehyde having a molecular mass of . The alkene is2010Method of preparation for both aldehydes and ketones
  7. 7If sodium sulphate is considered to be completely dissociated into cations and anions in aqueous solution, the change in freezing point of w2010Colligative Properties and Abnormal Molecular Masses
  8. 8From amongst the following alcohols the one that would react fastest with conc. and anhydrous , is2010Reactions of Alcohols
  9. 9In the chemical reactions, the compounds ' ' and ' ' respectively are2010Preparation and Properties of Amines
  10. 10of an organic compound containing nitrogen was digested according to Kjeldahl's method and the evolved ammonia was absorbed in of solution. 2010Quantitative analysis of organic compounds
  11. 11The energy required to break one mole of bonds in is . The longest wavelength of light capable of breaking a single bond is and2010Laws of Thermochemistry and Enthalpy Change
  12. 12Ionisation energy of is . The energy of the first stationary state of is2010Hydrogen spectrum
  13. 13Consider the following bromides : The correct order of reactivity is2010Preparation and Properties of Monohalides
  14. 14Which one of the following has an optical isomer ? (en = ethylenediamine)2010Isomerism of coordination compounds
  15. 15On mixing, heptane and octane form an ideal solution. At , the vapour pressures of the two liquid components (heptane and octane) are and re2010Vapour pressure and raoult's law
  16. 16The main product of the following reaction is ?2010Properties and Preparation of Alkenes
  17. 17Three reactions involving are given below : (i) (ii) (iii) In which of the above does act as an acid ?2010Phosphorus and Its Compounds
  18. 18In aqueous solution the ionization constants for carbonic acid are and Select the correct statement for a saturated solution of the carbonic2010Law of Mass Action, Equilibrium Constant (Kc and Kp) and its Application
  19. 19The edge length of a face centered cubic cell of an ionic substance is . If the radius of the cation is , the radius of the anion is2010Cubic system
  20. 20The correct order of increasing basicity of the given conjugate bases is2010Conjugation and Aromaticity
  21. 21The correct sequence which shows decreasing order of the ionic radii of the elements is2010Atomic Mass and Atomic Size
  22. 22Solubility product of silver bromide is . The quantity of potassium bromide (molar mass precipitation of is2010Solubility
  23. 23The Gibbs energy for the decomposition of at is as follows : The potential difference needed for electrolytic reduction of at is at least2010Cells and Electrode Potential, Nernst Equation
  24. 24At , the solubility product of is . At which , will ions start precipitating in the form of from a solution of ions ?2010Solubility
  25. 25Percentage of free space in cubic close packed structure and in body centred packed structure are respectively2010Cubic system
  26. 26Out of the following, the alkene that exhibits optical isomerism is2010Isomerism of Organic Compounds
  27. 27Biuret test is not given by2010Proteins
  28. 28The correct order of values with negative sign for the four successive elements and is2010Cells and Electrode Potential, Nernst Equation
  29. 29The polymer containing strong intermolecular forces e.g. hydrogen bonding, is2010Preparation and Properties of Polymers
  30. 30For a particular reversible reaction at temperature and were found to be both . If is the temperature at equilibrium, the reaction would be 2010Third law of thermodynamics

Mathematics

  1. 1Let and let , where , then2010Basic Identities & T Ratios
  2. 2Let be a non-empty subset of R. Consider the following statement: : There is a rational number such that . Which of the following statements2010Questions on Venn Diagram
  3. 3Let and . Then vector satisfying and is2010Product of 2 vectors
  4. 4The equation of the tangent to the curve , that is parallel to the -axis, is2010Tangent Normal
  5. 5Solution of the differential equation is2010Linear Differential Equation
  6. 6The area bounded by the curves and between the ordinates and is2010Area bounded by two curves
  7. 7If two tangents drawn from a point to the parabola are at right angles, then the locus of is2010Common Tangent
  8. 8If the vectors and are mutually orthogonal, then2010Product of 2 vectors
  9. 9Consider the following relations: are real numbers and wy for some rational number w ; and are integers such that and . Then2010Questions on Symmetric Transitive and Reflexive Properties
  10. 10Let be defined by . If has a local minimum at , then a possible value of is2010Maxima Minima
  11. 11The number of non-singular matrices, with four entries as 1 and all other entries as 0 , is2010Formation and Basic of Matrix
  12. 12Four numbers are chosen at random (without replacement) from the set . Statement-1: The probability that the chosen numbers when arranged in2010Classical Definition of Probability
  13. 13Statement-1: The point is the mirror image of the point in the plane . Statement-2: The plane bisects the line segment joining and .2010Plane in Space
  14. 14Let and . Statement-1: Statement-2: and .2010Sum of Series
  15. 15Let be a matrix with non-zero entries and let , where 1 is identity matrix. Define sum of diagonal elements of and determinant of matrix . S2010Trace of a Matrix
  16. 16Let be a continuous function defined by . Statement-1: , for some . Statement-2: , for all2010Continuity
  17. 17For a regular polygon, let and be the radii of the inscribed and the circumscribed circles. A false statement among the following is2010Circle and Polygon
  18. 18If and are the roots of the equation , then2010Relation between Roots and Coefficients
  19. 19The number of complex numbers such that equals2010Algebra of complex numbers
  20. 20A line in three-dimensional space makes angles and with the positive -axis and the positive -axis respectively. If makes an acute angle with2010Line in Space
  21. 21The line given by passes through the point . The line is parallel to and has the equation . Then the distance between and is2010Angle between Lines
  22. 22A person is to count 4500 currency notes. Let denote the number of notes he counts in the minute. If and are in A.P. with common difference 2010Arithmetic Progression
  23. 23Let be a positive increasing function with . Then2010Miscellaneous
  24. 24Let be a function defined on such that , for all and . Then equals2010Miscellaneous
  25. 25Let be a differentiable function with and . Let . Then2010Differentiation of composite functions
  26. 26There are two urns. Urn A has 3 distinct red balls and urn B has 9 distinct blue balls. From each urn two balls are taken out at random and 2010Combination
  27. 27Consider the system of linear equations: The system has2010System of Linear Equations
  28. 28An urn contains nine balls of which three are red, four are blue and two are green. Three balls are drawn at random without replacement from2010Conditional Probability and Multiplication Theorem
  29. 29For two data sets, each of size 5 , the variances are given to be 4 and 5 and the corresponding means are given to be 2 and 4 , respectively2010Measures of Dispersion
  30. 30The circle intersects the line at two distinct points if2010line and circle

Physics

  1. 1A rectangular loop has a sliding connector PQ of length and resistance and it is moving with a speed as shown. The set-up is placed in a uni2010Motional and Rotational EMF
  2. 2Let be the capacitance of a capacitor discharging through a resistor R. Suppose is the time taken for the energy stored in the capacitor to 2010Force and Energy stored in capacitor
  3. 3Statement-1 : Two particles moving in the same direction do not lose all their energy in a completely inelastic collision. Statement-2 : Pri2010Collisions
  4. 4Statement-1 : When ultraviolet light is incident on a photocell, its stopping potential is and the maximum kinetic energy of the photoelectr2010Photoelectric Effect
  5. 5A ball is made of a material of density where with and representing the densities of oil and water, respectively. The oil and water are immi2010Archmidies Principle
  6. 6A particle is moving with velocity , where is a constant. The general equation for its path is2010Projectile motion
  7. 7Two long parallel wires are at a distance apart. They carry steady equal current flowing out of the plane of the paper as shown. The variati2010Magnetic Field
  8. 8In the circuit shown below, the key is closed at . The current through the battery is2010Inductance
  9. 9The figure shows the position - time graph of one-dimensional motion of a body of mass . The magnitude of each impulse is2010Impulse
  10. 10A nucleus of mass is at rest and decays into two daughter nuclei of equal mass each. Speed of light is . 40. The binding energy per nucleon 2010Nuclear energy
  11. 11A nucleus of mass is at rest and decays into two daughter nuclei of equal mass each. Speed of light is . The speed of daughter nuclei is2010Nuclear reactions
  12. 12A radioactive nucleus (initial mass number and atomic number Z) emits -particles and 2 positrons. The ratio of number of neutrons to that of2010Radioactivity
  13. 13A thin semi-circular ring of radius has a positive charge distributed uniformly over it. The net field at the centre is2010Electric Field and Electric Field Lines
  14. 14The combination of gates shown below yields2010Logic gates
  15. 15A diatomic ideal gas is used in a Car engine as the working substance. If during the adiabatic expansion part of the cycle, volume of the ga2010Thermodynamic Processes
  16. 16If a source of power produces photons/second, the radiation belong to a part of the spectrum called2010Electromagnetic Spectrum
  17. 17The respective number of significant figures for the numbers and are2010Errors of Measurement
  18. 18In a series LCR circuit and the voltage and the frequency of the main supply is and respectively. On taking out the capacitance from the cir2010AC Circuits
  19. 19Let there be a spherically symmetric charge distribution with charge density varying as upto , and for , where is the distance from the orig2010Electric Field and Electric Field Lines
  20. 20The potential energy function for the force between two atoms in a diatomic molecule is approximately given by , where a and are constants a2010Energy
  21. 21Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of with each other. When suspended in a l2010Electric Charge and Coulomb's law
  22. 22Two conductors have the same resistance at but their temperature coefficients of resistance are and . The respective temperature coefficient2010Conduction
  23. 23A point moves in counter-clockwise direction on a circular path as shown in the figure. The movement of ' ' is such that it sweeps out a len2010Rotational kinematics
  24. 24Two fixed frictionless inclined plane making an angle and with the vertical are shown in the figure. Two block and are placed on the two pla2010Newton's laws of motion
  25. 25For a particle in uniform circular motion the acceleration at a point on the circle of radius is (here is measured from the -axis)2010Rotational kinematics
  26. 26An initially parallel cylindrical beam travels in a medium of refractive index , where and are positive constants and is the intensity of th2010Refraction of light from plane surface
  27. 27An initially parallel cylindrical beam travels in a medium of refractive index , where and are positive constants and is the intensity of th2010Refraction of light from plane surface
  28. 28An initially parallel cylindrical beam travels in a medium of refractive index , where and are positive constants and is the intensity of th2010Refraction of light from plane surface
  29. 29A small particle of mass is projected at an angle with the -axis with an initial velocity in the plane as shown in the figure. At a time $t2010Projectile motion
  30. 30The equation of a wave on a string of linear mass density is given by . The tension in the string is2010Vibration of String

Frequently Asked Questions

1.How many questions are in the JEE Main 2010 paper?

This paper has 90 questions in total - 30 each from Chemistry, Mathematics, and Physics.

2.Can I practise questions from just one subject?

Yes. Use the Chemistry, Mathematics, and Physics tabs at the top of the page to jump directly to that subject's question set within this paper.

3.How is the JEE Main 2010 paper structured?

The JEE Main 2010 paper on MARKS has 90 questions, organised by subject:

  • Chemistry: 30 questions - 30 single-correct.
  • Mathematics: 30 questions - 30 single-correct.
  • Physics: 30 questions - 30 single-correct.
4.How difficult is the JEE Main 2010 paper?

Each question on MARKS carries a difficulty rating. Of the 90 rated questions in this paper, 31 (34%) are easy, 44 (49%) are medium and 15 (17%) are hard. Subject wise:

  • Chemistry: 10 easy, 18 medium, 2 hard
  • Mathematics: 8 easy, 14 medium, 8 hard
  • Physics: 13 easy, 12 medium, 5 hard
5.Which chapters were asked the most in the JEE Main 2010 paper?

The chapters with the most questions in each subject were:

  • Chemistry: General Organic Chemistry (3), Solutions (3), and Thermodynamics (C) (3).
  • Mathematics: Application of Derivatives (2), Matrices (2), and Probability (2).
  • Physics: Electrostatics (3), Nuclear Physics (3), and Ray Optics (3).
6.Are there any out-of-syllabus questions in the JEE Main 2010 paper?

Yes. 11 of the 90 questions in this paper are marked on MARKS as outside the current syllabus. You can still practise them for the concept, but they are a lower priority if you are short on time.

7.Where can I find the solutions for the JEE Main 2010 paper?

Open any question on this page. Its page shows the correct answer and, where one is available, the worked solution. A downloadable PDF of the whole paper is coming soon.

8.How should I use the JEE Main 2010 paper to check my preparation?

Set a timer, attempt the 90 questions as you would in the exam, and only then open the answers. Note which subjects and chapters cost you the most marks, and revise those first using the chapter-wise practice for JEE Main. Repeating this with other papers shows whether the same weak spots keep coming back.

9.Will the JEE Main 2010 paper help me prepare for JEE Main 2027?

Yes. Every past paper shows the question styles and topics JEE Main has asked before, and a solved paper gives you a realistic benchmark for speed and accuracy. Use it along with the other papers to spot the chapters that keep returning.